Previous Conferences & Workshops

I will explain two recent results concerning non-zero coefficients of modular forms modulo a prime $p$. The first result, a joint work with K. Soundararajan, gives an asymptotic equivalent for the number of such coefficients. The second is concerned...

Schedule: https://www.ias.edu/math/bourgain16/schedule

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https://www.ias.edu/math/wam/2016/schedule

Gauss famously investigated class numbers of quadratic fields, in particular characterizing the 2-divisibility of the class number for such fields. In general, it is expected that for a number field of any degree, and any rational prime $p$, the $p$...